A class of self-affine tiles in ${\mathbb{R}}^d$ that are $d$-dimensional tame balls

Guotai Deng, Chuntai Liu, Sze-man Ngai

We study a family of self-affine tiles in ${\mathbb{R}}^d$ ($d\ge 2$) with noncollinear digit sets, which naturally generalizes a class studied originally by Deng and Lau in $\mathbb{…